Application of iteration functions to elliptic partial differential equations
Copyright policy )Application of iteration functions to elliptic partial differential equations
The authors formulate innovatively an iterative scheme combining two methods of different orders for solving linear or nonlinear elliptic boundary value problems. It is established that the iterative procedure which uses the solution of the lower order method gives the numerical solution of the higher order method just in one iteration. The algorithm is described and the results of a number of examples are included for comparison.
- University of Saskatchewan Canada
Iterative numerical methods for linear systems, iteration functions, numerical examples, algorithm, Numerical computation of solutions to systems of equations, Numerical solution of discretized equations for boundary value problems involving PDEs, comparison of methods, Computational Mathematics, Boundary value problems for second-order elliptic equations, Computational Theory and Mathematics, Nonlinear boundary value problems for linear elliptic equations, Modelling and Simulation
Iterative numerical methods for linear systems, iteration functions, numerical examples, algorithm, Numerical computation of solutions to systems of equations, Numerical solution of discretized equations for boundary value problems involving PDEs, comparison of methods, Computational Mathematics, Boundary value problems for second-order elliptic equations, Computational Theory and Mathematics, Nonlinear boundary value problems for linear elliptic equations, Modelling and Simulation
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